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Destination performance: Introducing the utility function in the Mean-Variance space

Author

Listed:
  • Linjia Zhang
  • Laurent Botti

    (CRESEM - Centre de Recherche sur les Sociétés et Environnements en Méditerranées - UPVD - Université de Perpignan Via Domitia)

  • Sylvain Petit

    (UPF - Université de la Polynésie Française)

Abstract

Economic characteristics of home countries can cause considerable variations in the tourism demand. For example, the average level of expenditure per tourist varies from one origin to another and these variations may alter overtime. Thus different tourist nationalities are associated with different level of expenditures and risks. Therefore strategies aimed at minimizing the variations may become an important issue for the policy makers. In this paper, we aim to use the productivity measurement theory in a mean-variance space to a French region (Nord Pas-de-Calais) by introducing the utility function in a mean-variance framework. With this method, we can calculate the optimal portfolio share for each origin and give some useful political advices to the policy decision makers to improve the performance of the tourist sector.
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Suggested Citation

  • Linjia Zhang & Laurent Botti & Sylvain Petit, 2016. "Destination performance: Introducing the utility function in the Mean-Variance space," Post-Print hal-01831499, HAL.
  • Handle: RePEc:hal:journl:hal-01831499
    Note: View the original document on HAL open archive server: https://hal.science/hal-01831499
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    References listed on IDEAS

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    1. Walter Briec & Kristiaan Kerstens & Octave Jokung, 2007. "Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach," Management Science, INFORMS, vol. 53(1), pages 135-149, January.
    2. Barros, Carlos Pestana & Botti, Laurent & Peypoch, Nicolas & Robinot, Elisabeth & Solonandrasana, Bernardin & A., George Assaf, 2011. "Performance of French destinations: Tourism attraction perspectives," Tourism Management, Elsevier, vol. 32(1), pages 141-146.
    3. W. Briec & K. Kerstens & J. B. Lesourd, 2004. "Single-Period Markowitz Portfolio Selection, Performance Gauging, and Duality: A Variation on the Luenberger Shortage Function," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 1-27, January.
    4. Valentina Bosetti & Mariaester Cassinelli & Alessandro Lanza, 2007. "Benchmarking in Tourism Destinations; Keeping in Mind the Sustainable Paradigm," Springer Books, in: Álvaro Matias & Peter Nijkamp & Paulo Neto (ed.), Advances in Modern Tourism Research, chapter 0, pages 165-180, Springer.
    5. Carlos Pestana Barros, 2004. "A Stochastic Cost Frontier in the Portuguese Hotel Industry," Tourism Economics, , vol. 10(2), pages 177-192, June.
    6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    7. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    8. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    9. Rozenn Perrigot & Gérard Cliquet & Isabelle Piot-Lepetit, 2009. "Plural form chain and efficiency: Insights from theFrench hotel chains and the DEA methodology," Post-Print halshs-00422241, HAL.
    10. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    11. Nicolas Peypoch, 2007. "Productivité du secteur touristique français : une comparaison interrégionale," Économie et Prévision, Programme National Persée, vol. 177(1), pages 65-76.
    12. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    13. A. George Assaf & Carlos Pestana Barros & Luiz Pinto Machado, 2011. "The Future Outlook for Portuguese Travel Agents," Tourism Economics, , vol. 17(2), pages 405-423, April.
    14. George Assaf, A., 2012. "Benchmarking the Asia Pacific tourism industry: A Bayesian combination of DEA and stochastic frontier," Tourism Management, Elsevier, vol. 33(5), pages 1122-1127.
    15. Rolf Färe & Shawna Grosskopf, 2000. "Theory and Application of Directional Distance Functions," Journal of Productivity Analysis, Springer, vol. 13(2), pages 93-103, March.
    16. Nicolas Peypoch, 2007. "Productivité du secteur touristique français : une comparaison interrégionale," Economie & Prévision, La Documentation Française, vol. 0(1), pages 65-76.
    17. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    18. Perrigot, Rozenn & Cliquet, Gérard & Piot-Lepetit, Isabelle, 2009. "Plural form chain and efficiency: Insights from the French hotel chains and the DEA methodology," European Management Journal, Elsevier, vol. 27(4), pages 268-280, August.
    19. Carlos Barros & Fernando Alves, 2004. "Productivity in the tourism industry," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 10(3), pages 215-225, October.
    20. Morey, Matthew R. & Morey, Richard C., 1999. "Mutual fund performance appraisals: a multi-horizon perspective with endogenous benchmarking," Omega, Elsevier, vol. 27(2), pages 241-258, April.
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    Cited by:

    1. Luis Felipe Mendieta-Peñalver & José F Perles-Ribes & Ana B Ramón-Rodríguez & María J Such-Devesa, 2018. "Is hotel efficiency necessary for tourism destination competitiveness? An integrated approach," Tourism Economics, , vol. 24(1), pages 3-26, February.
    2. Walheer, Barnabé & Zhang, Linjia, 2018. "Profit Luenberger and Malmquist-Luenberger indexes for multi-activity decision making units: the case of the star-rated hotel industry in China," RIEI Working Papers 2018-06, Xi'an Jiaotong-Liverpool University, Research Institute for Economic Integration.
    3. Kristiaan Kerstens & Jafar Sadeghi & Ignace Van de Woestyne & Linjia Zhang, 2022. "Malmquist productivity indices and plant capacity utilisation: new proposals and empirical application," Annals of Operations Research, Springer, vol. 315(1), pages 221-250, August.
    4. Walheer, Barnabé & Zhang, Linjia & Luo, Yingchan, 2020. "Bidirectional technological spillover in the Chinese star-rated hotel sector: An empirical investigation," Economic Modelling, Elsevier, vol. 86(C), pages 210-226.
    5. Hanitra Rakotondramaro & Laurent Botti, 2018. "Optimizing tourist demands with utility efficient frontier," Tourism Economics, , vol. 24(2), pages 157-166, March.
    6. Wenbin Luo, 2018. "Evaluating Tourist Destination Performance: Expanding the Sustainability Concept," Sustainability, MDPI, vol. 10(2), pages 1-16, February.
    7. Tyagi, Akansha & Dhar, Rajib Lochan & Sharma, Jyoti, 2016. "Police culture, tourists and destinations: A study of Uttarakhand, India," Tourism Management, Elsevier, vol. 52(C), pages 563-573.
    8. Hai Dong & Nicolas Peypoch & Linjia Zhang, 2020. "Do contextual factors matter? Evidence from Chinese hotel productivity with heterogeneity," Tourism Economics, , vol. 26(2), pages 257-275, March.
    9. Milenkovski, Ace & Gjorgievski, Mijalce & Nakovski, Dejan, 2018. "Termal/Mineral Springs Industry: Need For Transformation In Function Of Tourism," UTMS Journal of Economics, University of Tourism and Management, Skopje, Macedonia, vol. 9(2), pages 181-187.
    10. Laurent Botti & Sylvain Petit & Linjia Zhang, 2020. "Strategic decision concerning tourist origins portfolio: A decision process based on the ELECTRE method and applied to French Polynesia," Tourism Economics, , vol. 26(5), pages 830-843, August.
    11. Lai, Shuying & Qiu, Jing & Tao, Yuechuan & Zhao, Junhua, 2021. "Risk hedging for gas power generation considering power-to-gas energy storage in three different electricity markets," Applied Energy, Elsevier, vol. 291(C).
    12. Bing Xia & Suocheng Dong & Duoxun Ba & Yu Li & Fujia Li & Haimeng Liu & Zehong Li & Minyan Zhao, 2018. "Research on the Spatial Differentiation and Driving Factors of Tourism Enterprises’ Efficiency: Chinese Scenic Spots, Travel Agencies, and Hotels," Sustainability, MDPI, vol. 10(4), pages 1-22, March.

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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • L83 - Industrial Organization - - Industry Studies: Services - - - Sports; Gambling; Restaurants; Recreation; Tourism

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